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MSC classification
35-XX PARTIAL DIFFERENTIAL EQUATIONS
35Bxx Qualitative properties of solutions
35B60 Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx]
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Fedchenko, Dmitry
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Tarkhanov, Nikolai Nikolaevich
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Year of publication
2017
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Preprint
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English
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Keywords
porous medium equation (1)
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Institut für Mathematik
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A Radó Theorem for the Porous Medium Equation
(2017)
Fedchenko, Dmitry
;
Tarkhanov, Nikolai Nikolaevich
We prove that each locally Lipschitz continuous function satisfying the porous medium equation away from the set of its zeroes is actually a weak solution of this equation in the whole domain.
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